Stage 12 · Data handling
Tally charts and tables
A full tally of 5 strokes stands for 5.
How to do it
Method
A full tally of 5 strokes stands for 5
3 full, 2 strokes: 3 × 5 = 15, 15 + 2 = 17
Another way
Count in fives
5, 10, 15 → 15 + 2 = 17
In full
A table sets out the data collected, so you can see at a glance how many each item has. Tallies keep count with 正: each stroke is 1, and a full 正 has 5 strokes, so it stands for 5. Count the full ones first, then the strokes left: 3 full and 2 strokes, 3 × 5 = 15, 15 + 2 = 17. To compare two items, take one from the other; for both together, add; find the most and the fewest, and take one from the other for the difference. The table's Total is all the items added, so the Total less the items you know gives the one left blank: Total 60, with 12, 18 and 20 known, 12 + 18 = 30, 30 + 20 = 50, 60 − 50 = 10. Or count in fives: 5, 10, 15, then 16, 17 — the same answer.
Worked examples
Have a go first, then open each one for the answer and the working.
Example 1
Soy milk − Lemon tea = ?
Show the answer and working
Answer: Soy milk − Lemon tea = 28
Soy milk 35, Lemon tea 7, 35 − 7 = 28
Example 2
Lemon tea: ? pupils
Show the answer and working
Answer: Lemon tea: 30 pupils
The total is 88. Add the rows you know first: 9 + 17 = 26, 26 + 32 = 58; 88 − 58 = 30, so Lemon tea is 30
Example 3
The most popular: ? pupils
Show the answer and working
Answer: The most popular: 19 pupils
A full tally is 5. The most marks: Siu mai: 3 full, 4 more, 3 × 5 = 15, 15 + 4 = 19
Example 4
Siu mai + Egg waffle = ?
Show the answer and working
Answer: Siu mai + Egg waffle = 29
A full tally is 5: Siu mai: 1 full, 3 more, 1 × 5 = 5, 5 + 3 = 8; Egg waffle: 4 full, 1 more, 4 × 5 = 20, 20 + 1 = 21; 8 + 21 = 29
Practise tally charts and tables in the game →Stage 12 · Data handling · Free to start, unlimited questions, no download